Atkin-Lehner |
3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
9075n |
Isogeny class |
Conductor |
9075 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
8400 |
Modular degree for the optimal curve |
Δ |
-10762233075 = -1 · 35 · 52 · 116 |
Discriminant |
Eigenvalues |
2 3- 5+ -3 11- 1 2 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,202,-4801] |
[a1,a2,a3,a4,a6] |
Generators |
[122:359:8] |
Generators of the group modulo torsion |
j |
20480/243 |
j-invariant |
L |
9.2815082097041 |
L(r)(E,1)/r! |
Ω |
0.62963966739075 |
Real period |
R |
1.4740983915716 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
27225bs1 9075j2 75c1 |
Quadratic twists by: -3 5 -11 |